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Finding the Fourth Proportional to 680.52, 938.88 and 447.80

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Solution

The fourth proportional to 680.52, 938.88 and 447.80 is: 617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.52 : 938.88 = 447.80 : x
  2. Step 2: Convert to fraction form
    680.52/938.88 = 447.80/x
  3. Step 3: Cross multiply
    680.52x = 938.88 × 447.80
  4. Step 4: Simplify right side
    680.52x = 420,430.46
  5. Step 5: Solve for x
    x = 420,430.46/680.52
  6. Step 6: Final answer
    x = 617.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.